# 誤解法（フェルマーテスト）チェック
T = int(input())
Yes = "Yes"
No = "No"
for t in range(T):
	N = int(input())
	if ( N == 1 ) or ( N == -1 ):
		print( Yes )
		print( 0 )
	else:
		N *= N
		N2 = max( N , 2 )
		N *= N
		N += 4
		count = 0
		while N % 10 == 0:
			N //= 10
			count += 1
		if count > 0:
			print( No )
			print( count )
		else:
			print( Yes if( pow( 2 , N - 1 , N ) == 1 ) else No )
			print( 0 )